13500100005 has 24 divisors (see below), whose sum is σ = 25126718112. Its totient is φ = 6171473952.

The previous prime is 13500099997. The next prime is 13500100051. The reversal of 13500100005 is 50000100531.

13500100005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13500100005 - 2³ = 13500099997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9183007 + ... + 9184476.

It is an arithmetic number, because the mean of its divisors is an integer number (1046946588).

Almost surely, 2^13500100005 is an apocalyptic number.

13500100005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13500100005 is a deficient number, since it is larger than the sum of its proper divisors (11626618107).

13500100005 is a wasteful number, since it uses less digits than its factorization.

13500100005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18367505 (or 18367498 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 15.

Adding to 13500100005 its reverse (50000100531), we get a palindrome (63500200536).

The spelling of 13500100005 in words is "thirteen billion, five hundred million, one hundred thousand, five".